{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f543de9b-3858-45dd-bddf-cddddcc60da3",
   "metadata": {},
   "source": [
    "# Part 3: Advanced Link-level Simulations"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c55670f1-3ee6-481d-9661-d59e61074818",
   "metadata": {},
   "source": [
    "This tutorial will guide you through Sionna, from its basic principles to the implementation of a point-to-point link with a 5G NR compliant code and a 3GPP channel model.\n",
    "You will also learn how to write custom trainable blocks by implementing a state of the art neural receiver, and how to train and evaluate end-to-end communication systems.\n",
    "\n",
    "The tutorial is structured in four notebooks:\n",
    "\n",
    "- Part I: Getting started with Sionna\n",
    "\n",
    "- Part II: Differentiable Communication Systems\n",
    "\n",
    "- **Part III: Advanced Link-level Simulations**\n",
    "\n",
    "- Part IV: Toward Learned Receivers\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f2a6b68",
   "metadata": {},
   "source": [
    "The [official documentation](https://nvlabs.github.io/sionna/phy) provides key material on how to use Sionna and how its components are implemented."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7c4211f-beee-4142-9289-c385d0180877",
   "metadata": {},
   "source": [
    "* [Imports](#Imports)\n",
    "* [OFDM Resource Grid and Stream Management](#OFDM-Resource-Grid-and-Stream-Management)\n",
    "* [Antenna Arrays](#Antenna-Arrays)\n",
    "* [Channel Model](#Channel-Model)\n",
    "* [Uplink Transmission in the Frequency Domain](#Uplink-Transmission-in-the-Frequency-Domain)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74a184ac-1f64-407f-9a24-c53d40799be2",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d84bd69e-59f2-4a42-8dd3-730c8c1d821e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-08T13:48:05.722673Z",
     "iopub.status.busy": "2025-03-08T13:48:05.721995Z",
     "iopub.status.idle": "2025-03-08T13:48:08.190347Z",
     "shell.execute_reply": "2025-03-08T13:48:08.189472Z"
    }
   },
   "outputs": [],
   "source": [
    "import os # Configure which GPU \n",
    "if os.getenv(\"CUDA_VISIBLE_DEVICES\") is None:\n",
    "    gpu_num = 0 # Use \"\" to use the CPU\n",
    "    os.environ[\"CUDA_VISIBLE_DEVICES\"] = f\"{gpu_num}\"\n",
    "\n",
    "os.environ['TF_CPP_MIN_LOG_LEVEL'] = '3'\n",
    "\n",
    "# Import Sionna\n",
    "try:\n",
    "    import sionna as sn\n",
    "    import sionna.phy\n",
    "except ImportError as e:\n",
    "    import sys\n",
    "    if 'google.colab' in sys.modules:\n",
    "       # Install Sionna in Google Colab\n",
    "       print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n",
    "       os.system(\"pip install sionna\")\n",
    "       os.kill(os.getpid(), 5)\n",
    "    else:\n",
    "       raise e\n",
    "\n",
    "# Configure the notebook to use only a single GPU and allocate only as much memory as needed\n",
    "# For more details, see https://www.tensorflow.org/guide/gpu\n",
    "import tensorflow as tf\n",
    "gpus = tf.config.list_physical_devices('GPU')\n",
    "if gpus:\n",
    "    try:\n",
    "        tf.config.experimental.set_memory_growth(gpus[0], True)\n",
    "    except RuntimeError as e:\n",
    "        print(e)\n",
    "\n",
    "# Avoid warnings from TensorFlow\n",
    "tf.get_logger().setLevel('ERROR')\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "# For plotting\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# For the implementation of the Keras models\n",
    "from tensorflow.keras import Model\n",
    "\n",
    "# Set seed for reproducable results\n",
    "sn.phy.config.seed = 42"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1d95619-758f-434f-a009-4d66970544d5",
   "metadata": {},
   "source": [
    "## OFDM Resource Grid and Stream Management"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "78ef934e-47c5-41bb-87e0-ad8332ccf8a6",
   "metadata": {},
   "source": [
    "We will setup a realistic SIMO point-to-point link between a mobile user terminal (UT) and a base station (BS). The system we will setup is shown in the figure below."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a22bc456-64ad-4f9e-9a3a-bb256da1da4a",
   "metadata": {},
   "source": [
    "![SIMO]()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c14cb8b-74b2-41a3-93a5-067059a68d2e",
   "metadata": {},
   "source": [
    "### Stream Management\n",
    "\n",
    "For any type of MIMO simulations, it is required to setup a `StreamManagement` object.\n",
    "It determines which transmitters and receivers communicate data streams with each other.\n",
    "In our scenario, we will configure a single UT equipped with a single antenna and a single BS equipped with multiple antennas.\n",
    "Whether the UT or BS is considered as a transmitter depends on the link direction, which can be\n",
    "either uplink or downlink. The `StreamManagement` has many properties that are used by other components,\n",
    "such as precoding and equalization.\n",
    "\n",
    "We will configure the system here such that the number of streams per transmitter\n",
    "is equal to the number of UT antennas."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "964105d5-eaa0-4f4c-94b8-82eff73c73e0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-08T13:48:08.195254Z",
     "iopub.status.busy": "2025-03-08T13:48:08.194811Z",
     "iopub.status.idle": "2025-03-08T13:48:08.200771Z",
     "shell.execute_reply": "2025-03-08T13:48:08.199999Z"
    }
   },
   "outputs": [],
   "source": [
    "# Define the number of UT and BS antennas\n",
    "NUM_UT = 1\n",
    "NUM_BS = 1\n",
    "NUM_UT_ANT = 1\n",
    "NUM_BS_ANT = 4\n",
    "\n",
    "# The number of transmitted streams is equal to the number of UT antennas\n",
    "# in both uplink and downlink\n",
    "NUM_STREAMS_PER_TX = NUM_UT_ANT\n",
    "\n",
    "# Create an RX-TX association matrix.\n",
    "# RX_TX_ASSOCIATION[i,j]=1 means that receiver i gets at least one stream\n",
    "# from transmitter j. Depending on the transmission direction (uplink or downlink),\n",
    "# the role of UT and BS can change.\n",
    "# For example, considering a system with 2 RX and 4 TX, the RX-TX\n",
    "# association matrix could be\n",
    "# [ [1 , 1, 0, 0],\n",
    "#   [0 , 0, 1, 1] ]\n",
    "# which indicates that the RX 0 receives from TX 0 and 1, and RX 1 receives from\n",
    "# TX 2 and 3.\n",
    "#\n",
    "# In this notebook, as we have only a single transmitter and receiver,\n",
    "# the RX-TX association matrix is simply:\n",
    "RX_TX_ASSOCIATION = np.array([[1]])\n",
    "\n",
    "# Instantiate a StreamManagement object\n",
    "# This determines which data streams are determined for which receiver.\n",
    "# In this simple setup, this is fairly easy. However, it can get more involved\n",
    "# for simulations with many transmitters and receivers.\n",
    "STREAM_MANAGEMENT = sn.phy.mimo.StreamManagement(RX_TX_ASSOCIATION, NUM_STREAMS_PER_TX)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb89c603-989a-4fa3-80a8-093e1a25d625",
   "metadata": {},
   "source": [
    "### OFDM Resource Grid"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29d6c387-5830-4c1f-9a6d-682c2304732b",
   "metadata": {},
   "source": [
    "Next, we configure an OFDM `ResourceGrid` spanning multiple OFDM symbols.\n",
    "The resource grid contains data symbols and pilots and is equivalent to a\n",
    "*slot* in 4G/5G terminology. Although it is not relevant for our simulation, we null the DC subcarrier\n",
    "and a few guard carriers to the left and right of the spectrum. Also a cyclic prefix is added.\n",
    "\n",
    "During the creation of the `ResourceGrid`, a `PilotPattern` is automatically generated.\n",
    "We could have alternatively created a `PilotPattern` first and then provided it as initialization parameter.\n",
    "When multiple streams are considered, the corresponding pilot patterns must be orthogonal.\n",
    "By default, orthogonal pilots are setup when considering such systems."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0ef59fdd-f10b-415b-899c-9a9e63824687",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-08T13:48:08.204932Z",
     "iopub.status.busy": "2025-03-08T13:48:08.204336Z",
     "iopub.status.idle": "2025-03-08T13:48:08.870583Z",
     "shell.execute_reply": "2025-03-08T13:48:08.869927Z"
    }
   },
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "RESOURCE_GRID = sn.phy.ofdm.ResourceGrid(num_ofdm_symbols=14,\n",
    "                                         fft_size=76,\n",
    "                                         subcarrier_spacing=30e3,\n",
    "                                         num_tx=NUM_UT,\n",
    "                                         num_streams_per_tx=NUM_STREAMS_PER_TX,\n",
    "                                         cyclic_prefix_length=6,\n",
    "                                         pilot_pattern=\"kronecker\",\n",
    "                                         pilot_ofdm_symbol_indices=[2,11])\n",
    "RESOURCE_GRID.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6ba069ff-296c-4584-b706-25240295137d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-08T13:48:08.874668Z",
     "iopub.status.busy": "2025-03-08T13:48:08.874177Z",
     "iopub.status.idle": "2025-03-08T13:48:09.613392Z",
     "shell.execute_reply": "2025-03-08T13:48:09.612757Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "RESOURCE_GRID.pilot_pattern.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "766284dd-8065-4e1d-856f-300f71dce475",
   "metadata": {},
   "source": [
    "**Task:** You can try different pilot patterns, FFT size, number of OFDM symbols, and visualize how it affects the resource grid.\n",
    "\n",
    "See the notebook [MIMO OFDM Transmissions over CDL](https://nvlabs.github.io/sionna/phy/tutorials/MIMO_OFDM_Transmissions_over_CDL.html) for more advanced examples."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2eb8bd74-fbe4-4ee9-b6bb-730b9591fdfa",
   "metadata": {},
   "source": [
    "## Antenna Arrays"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f9fc0dc9-86f3-435b-8d35-d0fb7981cba7",
   "metadata": {},
   "source": [
    "We need to configure the antenna arrays used by the UT and BS.\n",
    "This can be ignored for simple channel models, such as `AWGN`, `RayleighBlockFading`, or `TDL` which do not account for antenna array geometries and antenna radiation patterns. However, other models, such as `CDL`, `UMi`, `UMa`, and `RMa` from the 3GPP 38.901 specification, require it.\n",
    "\n",
    "We will assume here that UT is equipped with one vertically single-polarized antenna and the BS antenna array is composed of dual cross-polarized antenna elements with an antenna pattern defined in the [3GPP 38.901 specification](https://portal.3gpp.org/desktopmodules/Specifications/SpecificationDetails.aspx?specificationId=3173). By default, the antenna elements are spaced half of a wavelength apart in both vertical and horizontal directions. You can define your own antenna geometries an radiation patterns if needed.\n",
    "\n",
    "An `AntennaArray` is always defined in the y-z plane. Its final orientation will be determined by the orientation of the UT or BS. This parameter can be configured in the `ChannelModel` that we will create later."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "532d79e0-2d9b-4538-898e-0e2963321c03",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-08T13:48:09.617964Z",
     "iopub.status.busy": "2025-03-08T13:48:09.617643Z",
     "iopub.status.idle": "2025-03-08T13:48:09.932517Z",
     "shell.execute_reply": "2025-03-08T13:48:09.931820Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CARRIER_FREQUENCY = 2.6e9 # Carrier frequency in Hz.\n",
    "                          # This is needed here to define the antenna element spacing.\n",
    "\n",
    "UT_ARRAY = sn.phy.channel.tr38901.Antenna(polarization=\"single\",\n",
    "                                          polarization_type=\"V\",\n",
    "                                          antenna_pattern=\"38.901\",\n",
    "                                          carrier_frequency=CARRIER_FREQUENCY)\n",
    "UT_ARRAY.show();\n",
    "\n",
    "BS_ARRAY = sn.phy.channel.tr38901.AntennaArray(num_rows=1,\n",
    "                                               num_cols=int(NUM_BS_ANT/2),\n",
    "                                               polarization=\"dual\",\n",
    "                                               polarization_type=\"cross\",\n",
    "                                               antenna_pattern=\"38.901\", # Try 'omni'\n",
    "                                               carrier_frequency=CARRIER_FREQUENCY)\n",
    "BS_ARRAY.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1dbb80c5-2cdc-404c-ae6c-6f15c2c57888",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-08T13:48:09.936216Z",
     "iopub.status.busy": "2025-03-08T13:48:09.935915Z",
     "iopub.status.idle": "2025-03-08T13:48:12.559080Z",
     "shell.execute_reply": "2025-03-08T13:48:12.558450Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "BS_ARRAY.show_element_radiation_pattern();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "809e0fcb-9b62-4b7a-bf79-aacbeee2cc09",
   "metadata": {},
   "source": [
    "**Task:** You can try different antenna pattern (\"omni\"), polarization, and array geometries."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f34cebf8-1b66-4bb9-8a6a-bbb01c45084b",
   "metadata": {},
   "source": [
    "## Channel Model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "67544d97-3a0f-4803-b02a-76b1bc18b224",
   "metadata": {},
   "source": [
    "Sionna implements the CDL, TDL, UMi, UMa, and RMa models from [3GPP TR 38.901](https://portal.3gpp.org/desktopmodules/Specifications/SpecificationDetails.aspx?specificationId=3173), as well as Rayleigh block fading.\n",
    "\n",
    "Note that:\n",
    "* TDL only supports SISO\n",
    "* CDL only supports single-user, possibly with multiple antenna\n",
    "* UMi, UMa, and RMa support single- and multi-user\n",
    "\n",
    "*Remark:* The TDL and CDL models correspond to fixed power delay profiles and fixed angles."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93abe749-1c75-4cbe-8d88-ef464929c5cb",
   "metadata": {},
   "source": [
    "![SIMO channel]()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c133f02-8f74-40c5-a6d7-4e44a5ab848f",
   "metadata": {},
   "source": [
    "We consider the 3GPP CDL model family in this notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6ce37769-8388-429a-90d1-bc36b2036b40",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-08T13:48:12.564767Z",
     "iopub.status.busy": "2025-03-08T13:48:12.564550Z",
     "iopub.status.idle": "2025-03-08T13:48:12.621437Z",
     "shell.execute_reply": "2025-03-08T13:48:12.620715Z"
    }
   },
   "outputs": [],
   "source": [
    "DELAY_SPREAD = 100e-9 # Nominal delay spread in [s]. Please see the CDL documentation\n",
    "                      # about how to choose this value.\n",
    "\n",
    "DIRECTION = \"uplink\"  # The `direction` determines if the UT or BS is transmitting.\n",
    "                      # In the `uplink`, the UT is transmitting.\n",
    "\n",
    "CDL_MODEL = \"C\"       # Suitable values are [\"A\", \"B\", \"C\", \"D\", \"E\"]\n",
    "\n",
    "SPEED = 10.0          # UT speed [m/s]. BSs are always assumed to be fixed.\n",
    "                     # The direction of travel will chosen randomly within the x-y plane.\n",
    "\n",
    "# Configure a channel impulse reponse (CIR) generator for the CDL model.\n",
    "CDL = sn.phy.channel.tr38901.CDL(CDL_MODEL,\n",
    "                                 DELAY_SPREAD,\n",
    "                                CARRIER_FREQUENCY,\n",
    "                                UT_ARRAY,\n",
    "                                BS_ARRAY,\n",
    "                                DIRECTION,\n",
    "                                min_speed=SPEED)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea31c965-feec-4783-8e4a-e78972d2121b",
   "metadata": {},
   "source": [
    "The instance `CDL` of the CDL model can be used to generate batches of random realizations of continuous-time\n",
    "channel impulse responses, consisting of complex gains `a` and delays `tau` for each path. \n",
    "To account for time-varying channels, a channel impulse responses is sampled at the `sampling_frequency` for `num_time_samples` samples.\n",
    "For more details on this, please have a look at the API documentation of the channel models.\n",
    "\n",
    "In order to model the channel in the frequency domain, we need `num_ofdm_symbols` samples that are taken once per `ofdm_symbol_duration`, which corresponds to the length of an OFDM symbol plus the cyclic prefix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "35c41d1b-61db-4467-bec5-8942da76dc9e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-08T13:48:12.625193Z",
     "iopub.status.busy": "2025-03-08T13:48:12.624908Z",
     "iopub.status.idle": "2025-03-08T13:48:13.890740Z",
     "shell.execute_reply": "2025-03-08T13:48:13.889979Z"
    }
   },
   "outputs": [],
   "source": [
    "BATCH_SIZE = 128 # How many examples are processed by Sionna in parallel\n",
    "\n",
    "a, tau = CDL(batch_size=BATCH_SIZE,\n",
    "             num_time_steps=RESOURCE_GRID.num_ofdm_symbols,\n",
    "             sampling_frequency=1/RESOURCE_GRID.ofdm_symbol_duration)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bf9ddb50-c1d0-47ca-a0f3-62a5c71ca076",
   "metadata": {},
   "source": [
    "The path gains `a` have shape\\\n",
    "`[batch size, num_rx, num_rx_ant, num_tx, num_tx_ant, num_paths, num_time_steps]`\\\n",
    "and the delays `tau` have shape\\\n",
    "`[batch_size, num_rx, num_tx, num_paths]`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "3f2e9b70-9727-420a-a514-1019b8dbb5b2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-08T13:48:13.894834Z",
     "iopub.status.busy": "2025-03-08T13:48:13.894637Z",
     "iopub.status.idle": "2025-03-08T13:48:13.898756Z",
     "shell.execute_reply": "2025-03-08T13:48:13.898211Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of the path gains:  (128, 1, 4, 1, 1, 24, 14)\n",
      "Shape of the delays: (128, 1, 1, 24)\n"
     ]
    }
   ],
   "source": [
    "print(\"Shape of the path gains: \", a.shape)\n",
    "print(\"Shape of the delays:\", tau.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4219ae1-3e41-400d-8ec7-6c717f5a5864",
   "metadata": {},
   "source": [
    "The delays are assumed to be static within the time-window of interest. Only the complex path gains change over time.\n",
    "The following two figures depict the channel impulse response at a particular time instant and the time-evolution of the gain of one path, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e573ba47-5625-4b69-9411-be2eefe4d0ec",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-08T13:48:13.902873Z",
     "iopub.status.busy": "2025-03-08T13:48:13.902582Z",
     "iopub.status.idle": "2025-03-08T13:48:14.208787Z",
     "shell.execute_reply": "2025-03-08T13:48:14.208151Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.title(\"Channel impulse response realization\")\n",
    "plt.stem(tau[0,0,0,:]/1e-9, np.abs(a)[0,0,0,0,0,:,0])\n",
    "plt.xlabel(r\"$\\tau$ [ns]\")\n",
    "plt.ylabel(r\"$|a|$\")\n",
    "\n",
    "plt.figure()\n",
    "plt.title(\"Time evolution of path gain\")\n",
    "plt.plot(np.arange(RESOURCE_GRID.num_ofdm_symbols)*RESOURCE_GRID.ofdm_symbol_duration/1e-6, np.real(a)[0,0,0,0,0,0,:])\n",
    "plt.plot(np.arange(RESOURCE_GRID.num_ofdm_symbols)*RESOURCE_GRID.ofdm_symbol_duration/1e-6, np.imag(a)[0,0,0,0,0,0,:])\n",
    "plt.legend([\"Real part\", \"Imaginary part\"])\n",
    "\n",
    "plt.xlabel(r\"$t$ [us]\")\n",
    "plt.ylabel(r\"$a$\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff16a2b5-9464-4dd0-b892-1bf36cdc56df",
   "metadata": {},
   "source": [
    "See the notebook [Realistic Multiuser MIMO Simulations](https://nvlabs.github.io/sionna/phy/tutorials/Realistic_Multiuser_MIMO_Simulations.html) for more advanced examples."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eca9e19c-fad2-4e8f-ad04-6c1669a86318",
   "metadata": {},
   "source": [
    "## Uplink Transmission in the Frequency Domain"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a345cc4-dddf-4340-8a47-2eaff529bc11",
   "metadata": {},
   "source": [
    "We are now ready to simulate a transmission.\n",
    "\n",
    "In the following, the channel is simulated in the frequency domain. Therefore, the channel is assumed to be constant over the duration of an OFDM symbol, which leads to not simulating the intercarrier interference (ICI) that could occur due to channel aging over the duration of OFDM symbols.\n",
    "\n",
    "The `OFDMChannel` layer is used to simulate the channel in the frequency domain and takes care of sampling channel impulse responses, computing the frequency responses, and applying the channel transfer function to the channel inputs (including AWGN).\n",
    "\n",
    "Note that it is also possible to simulate the channel in time domain using the `TimeChannel` layer, which enables simulation of ICI.\n",
    "For more information, please have a look at the API documentation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d0e5af5b-e5b3-47b7-8f44-f11c91b6c7e2",
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   "source": [
    "NUM_BITS_PER_SYMBOL = 2 # QPSK\n",
    "CODERATE = 0.5\n",
    "\n",
    "# Number of coded bits in a resource grid\n",
    "n = int(RESOURCE_GRID.num_data_symbols*NUM_BITS_PER_SYMBOL)\n",
    "# Number of information bits in a resource groud\n",
    "k = int(n*CODERATE)\n",
    "\n",
    "# The binary source will create batches of information bits\n",
    "binary_source = sn.phy.mapping.BinarySource()\n",
    "\n",
    "# The encoder maps information bits to coded bits\n",
    "encoder = sn.phy.fec.ldpc.LDPC5GEncoder(k, n)\n",
    "\n",
    "# The mapper maps blocks of information bits to constellation symbols\n",
    "mapper = sn.phy.mapping.Mapper(\"qam\", NUM_BITS_PER_SYMBOL)\n",
    "\n",
    "# The resource grid mapper maps symbols onto an OFDM resource grid\n",
    "rg_mapper = sn.phy.ofdm.ResourceGridMapper(RESOURCE_GRID)\n",
    "\n",
    "# Frequency domain channel\n",
    "channel = sn.phy.channel.OFDMChannel(CDL, RESOURCE_GRID, add_awgn=True, normalize_channel=True, return_channel=True)\n",
    "\n",
    "# The LS channel estimator will provide channel estimates and error variances\n",
    "ls_est = sn.phy.ofdm.LSChannelEstimator(RESOURCE_GRID, interpolation_type=\"nn\")\n",
    "\n",
    "# The LMMSE equalizer will provide soft symbols together with noise variance estimates\n",
    "lmmse_equ = sn.phy.ofdm.LMMSEEqualizer(RESOURCE_GRID, STREAM_MANAGEMENT)\n",
    "\n",
    "# The demapper produces LLR for all coded bits\n",
    "demapper = sn.phy.mapping.Demapper(\"app\", \"qam\", NUM_BITS_PER_SYMBOL)\n",
    "\n",
    "# The decoder provides hard-decisions on the information bits\n",
    "decoder = sn.phy.fec.ldpc.LDPC5GDecoder(encoder, hard_out=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "81cc8743-85af-4838-8688-729017f59a4b",
   "metadata": {},
   "source": [
    "Let's now simulate the transmission, and look at the shape of the layers outputs at each stage.\n",
    "\n",
    "The utility function `ebnodb2no` takes as additional input the resource grid to account for the pilots when computing the noise power spectral density ratio $N_0$ from the energy per bit to noise power spectral density ratio $E_b/N_0$ (in dB)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "40b4512d-04f5-4f62-9ad0-19d7c037e81c",
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2025-03-08T13:48:17.191604Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of bits:  (128, 1, 1, 912)\n",
      "Shape of codewords:  (128, 1, 1, 1824)\n",
      "Shape of x:  (128, 1, 1, 912)\n",
      "Shape of x_rg:  (128, 1, 1, 14, 76)\n",
      "Shape of y_rg:  (128, 1, 4, 14, 76)\n",
      "Shape of h_freq:  (128, 1, 4, 1, 1, 14, 76)\n",
      "Shape of h_hat:  (128, 1, 4, 1, 1, 14, 76)\n",
      "Shape of err_var:  (1, 1, 1, 1, 1, 14, 76)\n",
      "Shape of x_hat:  (128, 1, 1, 912)\n",
      "Shape of no_eff:  (128, 1, 1, 912)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of llr:  (128, 1, 1, 1824)\n",
      "Shape of bits_hat:  (128, 1, 1, 912)\n"
     ]
    }
   ],
   "source": [
    "no = sn.phy.utils.ebnodb2no(ebno_db=10.0,\n",
    "                            num_bits_per_symbol=NUM_BITS_PER_SYMBOL,\n",
    "                            coderate=CODERATE,\n",
    "                            resource_grid=RESOURCE_GRID)\n",
    "\n",
    "# Transmitter\n",
    "bits = binary_source([BATCH_SIZE, NUM_UT, RESOURCE_GRID.num_streams_per_tx, k])\n",
    "print(\"Shape of bits: \", bits.shape)\n",
    "codewords = encoder(bits)\n",
    "print(\"Shape of codewords: \", codewords.shape)\n",
    "x = mapper(codewords)\n",
    "print(\"Shape of x: \", x.shape)\n",
    "x_rg = rg_mapper(x)\n",
    "print(\"Shape of x_rg: \", x_rg.shape)\n",
    "\n",
    "# Channel\n",
    "y, h_freq = channel(x_rg, no)\n",
    "print(\"Shape of y_rg: \", y.shape)\n",
    "print(\"Shape of h_freq: \", h_freq.shape)\n",
    "\n",
    "# Receiver\n",
    "h_hat, err_var = ls_est (y, no)\n",
    "print(\"Shape of h_hat: \", h_hat.shape)\n",
    "print(\"Shape of err_var: \", err_var.shape)\n",
    "x_hat, no_eff = lmmse_equ(y, h_hat, err_var, no)\n",
    "print(\"Shape of x_hat: \", x_hat.shape)\n",
    "print(\"Shape of no_eff: \", no_eff.shape)\n",
    "llr = demapper(x_hat, no_eff)\n",
    "print(\"Shape of llr: \", llr.shape)\n",
    "bits_hat = decoder(llr)\n",
    "print(\"Shape of bits_hat: \", bits_hat.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab0b66e7-b698-4bdf-aa70-b2f84bc29b3d",
   "metadata": {},
   "source": [
    "The next cell implements the previous system as an end-to-end model.\n",
    "\n",
    "Moreover, a boolean given as parameter to the initializer enables using either LS estimation or perfect CSI, as shown in the figure below."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "40d8e898-b652-4560-896e-8696f4f52fb7",
   "metadata": {},
   "source": [
    "![Simo channel LS PCSI]()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4c291dec-8047-4825-bf16-c391d09f72f2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-08T13:48:17.196764Z",
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     "shell.execute_reply": "2025-03-08T13:48:17.205739Z"
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   "source": [
    "class OFDMSystem(Model): # Inherits from Keras Model\n",
    "\n",
    "    def __init__(self, perfect_csi):\n",
    "        super().__init__() # Must call the Keras model initializer\n",
    "\n",
    "        self.perfect_csi = perfect_csi\n",
    "\n",
    "        n = int(RESOURCE_GRID.num_data_symbols*NUM_BITS_PER_SYMBOL) # Number of coded bits\n",
    "        k = int(n*CODERATE) # Number of information bits\n",
    "        self.k = k\n",
    "\n",
    "        # The binary source will create batches of information bits\n",
    "        self.binary_source = sn.phy.mapping.BinarySource()\n",
    "\n",
    "        # The encoder maps information bits to coded bits\n",
    "        self.encoder = sn.phy.fec.ldpc.LDPC5GEncoder(k, n)\n",
    "\n",
    "        # The mapper maps blocks of information bits to constellation symbols\n",
    "        self.mapper = sn.phy.mapping.Mapper(\"qam\", NUM_BITS_PER_SYMBOL)\n",
    "\n",
    "        # The resource grid mapper maps symbols onto an OFDM resource grid\n",
    "        self.rg_mapper = sn.phy.ofdm.ResourceGridMapper(RESOURCE_GRID)\n",
    "\n",
    "        # Frequency domain channel\n",
    "        self.channel = sn.phy.channel.OFDMChannel(CDL, RESOURCE_GRID, add_awgn=True, normalize_channel=True, return_channel=True)\n",
    "\n",
    "        # The LS channel estimator will provide channel estimates and error variances\n",
    "        self.ls_est = sn.phy.ofdm.LSChannelEstimator(RESOURCE_GRID, interpolation_type=\"nn\")\n",
    "\n",
    "        # The LMMSE equalizer will provide soft symbols together with noise variance estimates\n",
    "        self.lmmse_equ = sn.phy.ofdm.LMMSEEqualizer(RESOURCE_GRID, STREAM_MANAGEMENT)\n",
    "\n",
    "        # The demapper produces LLR for all coded bits\n",
    "        self.demapper = sn.phy.mapping.Demapper(\"app\", \"qam\", NUM_BITS_PER_SYMBOL)\n",
    "\n",
    "        # The decoder provides hard-decisions on the information bits\n",
    "        self.decoder = sn.phy.fec.ldpc.LDPC5GDecoder(self.encoder, hard_out=True)\n",
    "\n",
    "    @tf.function # Graph execution to speed things up\n",
    "    def __call__(self, batch_size, ebno_db):\n",
    "        no = sn.phy.utils.ebnodb2no(ebno_db, num_bits_per_symbol=NUM_BITS_PER_SYMBOL, coderate=CODERATE, resource_grid=RESOURCE_GRID)\n",
    "\n",
    "        # Transmitter\n",
    "        bits = self.binary_source([batch_size, NUM_UT, RESOURCE_GRID.num_streams_per_tx, self.k])\n",
    "        codewords = self.encoder(bits)\n",
    "        x = self.mapper(codewords)\n",
    "        x_rg = self.rg_mapper(x)\n",
    "\n",
    "        # Channel\n",
    "        y, h_freq = self.channel(x_rg, no)\n",
    "\n",
    "        # Receiver\n",
    "        if self.perfect_csi:\n",
    "            h_hat, err_var = h_freq, 0.\n",
    "        else:\n",
    "            h_hat, err_var = self.ls_est (y, no)\n",
    "        x_hat, no_eff = self.lmmse_equ(y, h_hat, err_var, no)\n",
    "        llr = self.demapper(x_hat, no_eff)\n",
    "        bits_hat = self.decoder(llr)\n",
    "\n",
    "        return bits, bits_hat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EbNo [dB] |        BER |       BLER |  bit errors |    num bits | block errors |  num blocks | runtime [s] |    status\n",
      "---------------------------------------------------------------------------------------------------------------------------------------\n",
      "     -8.0 | 4.3035e-01 | 1.0000e+00 |       50237 |      116736 |          128 |         128 |         8.1 |reached target block errors\n",
      "   -7.421 | 4.2089e-01 | 1.0000e+00 |       49133 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -6.842 | 4.0998e-01 | 1.0000e+00 |       47860 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -6.263 | 4.0063e-01 | 1.0000e+00 |       46768 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -5.684 | 3.8746e-01 | 1.0000e+00 |       45231 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -5.105 | 3.7554e-01 | 1.0000e+00 |       43839 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -4.526 | 3.5852e-01 | 1.0000e+00 |       41852 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -3.947 | 3.4360e-01 | 1.0000e+00 |       40110 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -3.368 | 3.2968e-01 | 1.0000e+00 |       38485 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -2.789 | 3.1149e-01 | 1.0000e+00 |       36362 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -2.211 | 2.8992e-01 | 1.0000e+00 |       33844 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -1.632 | 2.6465e-01 | 1.0000e+00 |       30894 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -1.053 | 2.3882e-01 | 1.0000e+00 |       27879 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -0.474 | 2.0660e-01 | 1.0000e+00 |       24118 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "    0.105 | 1.6291e-01 | 9.9219e-01 |       19017 |      116736 |          127 |         128 |         0.1 |reached target block errors\n",
      "    0.684 | 3.3584e-02 | 4.9219e-01 |        7841 |      233472 |          126 |         256 |         0.2 |reached target block errors\n",
      "    1.263 | 3.7955e-04 | 1.2139e-02 |        2880 |     7587840 |          101 |        8320 |         5.0 |reached target block errors\n",
      "    1.842 | 0.0000e+00 | 0.0000e+00 |           0 |    11673600 |            0 |       12800 |         7.8 |reached max iterations\n",
      "\n",
      "Simulation stopped as no error occurred @ EbNo = 1.8 dB.\n",
      "\n",
      "EbNo [dB] |        BER |       BLER |  bit errors |    num bits | block errors |  num blocks | runtime [s] |    status\n",
      "---------------------------------------------------------------------------------------------------------------------------------------\n",
      "     -8.0 | 2.7901e-01 | 1.0000e+00 |       32570 |      116736 |          128 |         128 |         2.6 |reached target block errors\n",
      "   -7.421 | 2.6349e-01 | 1.0000e+00 |       30759 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -6.842 | 2.4822e-01 | 1.0000e+00 |       28976 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -6.263 | 2.2700e-01 | 1.0000e+00 |       26499 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -5.684 | 2.0336e-01 | 1.0000e+00 |       23740 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -5.105 | 1.7230e-01 | 1.0000e+00 |       20114 |      116736 |          128 |         128 |         0.1 |reached target block errors\n",
      "   -4.526 | 1.0627e-01 | 9.6875e-01 |       12405 |      116736 |          124 |         128 |         0.1 |reached target block errors\n",
      "   -3.947 | 1.4798e-02 | 3.9453e-01 |        3455 |      233472 |          101 |         256 |         0.1 |reached target block errors\n",
      "   -3.368 | 1.0475e-04 | 8.4918e-03 |        1125 |    10739712 |          100 |       11776 |         7.0 |reached target block errors\n",
      "   -2.789 | 1.1993e-06 | 1.5625e-04 |          14 |    11673600 |            2 |       12800 |         7.6 |reached max iterations\n",
      "   -2.211 | 0.0000e+00 | 0.0000e+00 |           0 |    11673600 |            0 |       12800 |         7.6 |reached max iterations\n",
      "\n",
      "Simulation stopped as no error occurred @ EbNo = -2.2 dB.\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "EBN0_DB_MIN = -8.0 # Minimum value of Eb/N0 [dB] for simulations\n",
    "EBN0_DB_MAX = 3.0 # Maximum value of Eb/N0 [dB] for simulations\n",
    "\n",
    "ber_plots = sn.phy.utils.PlotBER(\"OFDM over 3GPP CDL\")\n",
    "\n",
    "model_ls = OFDMSystem(False)\n",
    "ber_plots.simulate(model_ls,\n",
    "                  ebno_dbs=np.linspace(EBN0_DB_MIN, EBN0_DB_MAX, 20),\n",
    "                  batch_size=BATCH_SIZE,\n",
    "                  num_target_block_errors=100, # simulate until 100 block errors occured\n",
    "                  legend=\"LS Estimation\",\n",
    "                  soft_estimates=True,\n",
    "                  max_mc_iter=100, # run 100 Monte-Carlo simulations (each with batch_size samples)\n",
    "                  show_fig=False);\n",
    "\n",
    "model_pcsi = OFDMSystem(True)\n",
    "ber_plots.simulate(model_pcsi,\n",
    "                  ebno_dbs=np.linspace(EBN0_DB_MIN, EBN0_DB_MAX, 20),\n",
    "                  batch_size=BATCH_SIZE,\n",
    "                  num_target_block_errors=100, # simulate until 100 block errors occured\n",
    "                  legend=\"Perfect CSI\",\n",
    "                  soft_estimates=True,\n",
    "                  max_mc_iter=100, # run 100 Monte-Carlo simulations (each with batch_size samples)\n",
    "                  show_fig=False);\n",
    "\n",
    "ber_plots();"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.16"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {},
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
